Treatments for broken capillaries
IPL (broadband light) is one of the best treatments for small blood vessels on the face. Other excellent treatments include lasers such as the pulsed dye (v-beam) laser, the KTP laser, the Alexandrite and Diode. For larger vessels, the Nd:YAG laser can be very useful.
These are all effective, non-ablative treatments. While a single treatment can be helpful, a series of 3-5 treatments may be needed to resolve the blood vessels to your satisfaction.